### Aptitude - Partnership

A began a business with Rs. 85, 000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

A.  6 Months

B.  7 Months

C.  8 Months

D.  9 Months

Correct Answer :

8 Months

Explanation :

=> A's investment = Rs.85000/-

=> Investment Duration = 1 Year = 12 Months (because profit is being calculated at the end of the year)

=> B's Investment = Rs.42500/-

=> Say, duration of investment by B is N

=> Ratio of investment of A and B = 85000 x 12 : 42500 x N

=> 1020000 : 42500N

=> Ratio of Profit = 3 : 1

=> 1020000 : 42500N = 3 : 1

=> N = 8

So, B's investment must be for 8 Months

Two friends P and Q started a business investing in the ratio of 5 : 6. R joined them after 6 months investing an amount equal to that of Q's. At the end of the year, 20% profit was earned which was equal to Rs. 98,000. What was the amount invested by R?

A.  Rs. 1,00,000

B.  Rs. 1,05,000

C.  Rs. 1,10,000

D.  Rs. 1,15,000

Correct Answer :

Rs. 1,05,000

Explanation :

=> Ratio of investment of P and Q = 5 : 6

=> Say money invested by P and Q = Z

=> The amount invested by Q = 6Z / ( 5 + 6 ) = 6Z / 11

=> Similarly, the amount invested by P = 5Z / 11

=> R invested the amount after 6 months and he invested the amount same as Q

=> So, R's investment = 6Z / 11

=> Total Investment Y =  P's Investment for 12 months x Q's investment for 12 months x R's investment for 6 months

=> Y = (5Z / 11) x 12 + (6Z / 11) x 12 +  (6Z/11) x 6

=> Y = 168Z / 11

=> Profit = 20% of total investment Y

=> 98000 = (20 / 100) x Y

=> Y = 490000

=> 490000 = 168Z / 11

=> Z = 490000 x 11 / 168

=> R's investment = 36Z / 11 = 105000

A and B are partner in a business. A contributes 1/4th of the capital for 15 months and B received 2/3 of the profit. For how long does B's money is used?

A.  9 Months

B.  10 Months

C.  11 Months

D.  12 Months

Correct Answer :

10 Months

Explanation :

=> Say, Capital = Z

=> A's contribution = 1/4th of capital i.e. Z/4

=> So, B's capital = Total Capital - A's Capital = Z - Z/4 = 3Z/4

=> Say, B has invested for N months

=> Ratio of Investment = (Z/4) x 15 : (3Z/4) x N = 5 : N

=> Total profit = P

=> So, B's share in profit is 2P/3

=> Therefore, A's share = P - 2P/3 = P/3

=> Ratio of Profit = P/3 : 2P/3 = P : 2P = 1 : 2

=> Ratio of Investmment = Ratio of Profit

=> 5 : N = 1 : 2

=> N = 10

=> So, B's investment is for 10 Months

A, B, and C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire Charges to be paid by B:

A.  130

B.  140

C.  150

D.  160

Correct Answer :

160

Explanation :

=> Total Hire charges = 520

=> Usage duration by A, B, and C = 7, 8, and 11 hours

=> Their ratio is 7 : 8 : 11

=> Charges paid by B = ( 8 / ( 7 + 8 + 11 ) ) x 520 = 520 x 8 / 26 = 160

=> So, B has to pay Rs.160/-

A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. what is B's contribution in the capital?

A.  Rs.8000/-

B.  Rs.9000/-

C.  Rs.6000/-

D.  Rs.7000/-

Correct Answer :

Rs.9000/-

Explanation :

=> Profit sharing ratio = 2 : 3

=> Duration of business = 1 Year = 12 Months

=> A's total investment = 3500 x 12 = 42000

=> B's Investment = Z for (12 - 5) Months = 7Z

=> Ratio of their investments = 42000 : 7Z

=> As Ratio of investment = Ratio of Profit sharing

=> So, 42000 : 7Z = 2 : 3

=> 42000/7Z = 2/3

=> 126000 = 14Z

=> Z = 9000

So, B's investment is Rs.9000/-

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:

A.  Rs. 1425

B.  Rs. 1500

C.  Rs. 1550

D.  Rs. 1600

Correct Answer :

Rs. 1500

Explanation :

Let the total profit be Rs. 100

After paying to charity, A's share = Rs. [ 95 x (3/5) ] = Rs. 57

If A's share is Rs. 57, total profit = Rs. 100

If A's share Rs. 855, total profit = [ (100/57) x 855 ] = 1500

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit

A.  Rs. 1900

B.  Rs. 2660

C.  Rs. 2800

D.  Rs. 2960

Correct Answer :

Rs. 2660

Explanation :

For managing, A received = 5% of Rs. 7400 = Rs. 370

Balance = Rs. (7400 - 370) = Rs. 7030

Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)

= 39000 : 42000 : 30000

= 13 : 14 : 10

=> B's share = Rs. [ 7030 x (14/37) ] = Rs. 2660

A, B and C enter into a partnership in the ratio 7/2 : 4/3 : 6/5 After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:

A.  Rs. 2100

B.  Rs. 2400

C.  Rs. 3600

D.  Rs. 4000

Correct Answer :

Rs. 4000

Explanation :

Ratio of initial investments = [ (7/2) : (4/3) : (6/5) ] = 105 : 40 : 36

Let the initial investments be 105x, 40x and 36x

=> A : B : C = [ 105x x 4 + (150/100) x 105x x 8 ] : (40x x 12) : (36x x 12)

=> 1680x : 480x : 432x = 35 : 10 : 9

=> Hence, B's share = Rs. [ 21600 x (10/54) ] = Rs. 4000

A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:

A.  Rs. 8400

B.  Rs. 11,900

C.  Rs. 13,600

D.  Rs. 14,700

Correct Answer :

Rs. 14,700

Explanation :

Let C = x.

Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.

So, x + x + 5000 + x + 9000 = 50000

=> 3x = 36000

=> x = 12000

A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12

=> A's share = Rs. [ 35000 x (21/50) ] = Rs. 14,700

Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

A.  5 : 7 : 8

B.  20 : 49 : 64

C.  38 : 28 : 21

D.  49 : 20 : 64

Correct Answer :

20 : 49 : 64

Explanation :

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively

Then, 14x : 8y : 7z = 5 : 7 : 8

Now, 14x/8y = 5/7 <=> 98x = 40y <=> y = (49/20) x

and 14x/7z = 5/8 <=> 112x = 35z <=> z = (112/35) x = (16/5) x

=> x : y : z = x : (49/20) x : (16/5) x = 20 : 49 : 64

A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:

A.  Rs. 330

B.  Rs. 360

C.  Rs. 390

D.  Rs. 420

Correct Answer :

Rs. 330

Explanation :
 A : B = [ 4x x 3 + [ 4x - (1/4) x 4x ] x 7 ] : [ 5x x 3 + [ 5x - (1/5) x 5x ] x 7 ]

= (12x + 21x) : (15x + 28x)

= 33x :43x

= 33 : 43

A's share = Rs. [ 760 x (33/76) ]  = Rs. 330

A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?

A.  3 : 5 : 2

B.  3 : 5 : 5

C.  6 : 10 : 5

D.  5 : 5 : 3

Correct Answer :

6 : 10 : 5

Explanation :

Let the initial investments of A and B be 3x and 5x

A : B : C = (3x x 12) : (5x x 12) : (5x x 6)

= 36 : 60 : 30 = 6 : 10 : 5

A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

A.  Rs. 45

B.  Rs. 50

C.  Rs. 55

D.  Rs. 60

Correct Answer :

Rs. 45

Explanation :

A : B : C = (10 x 7) : (12 x 5) : (15 x 3) = 70 : 60 : 45 = 14 : 12 : 9

=> C's rent = Rs. [ 175 x (9/35) ] = Rs. 45

A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

A.  Rs. 7500

B.  Rs. 9000

C.  Rs. 9500

D.  Rs. 10,000

Correct Answer :

Rs. 7500

Explanation :

A : B : C = (20,000 x 24) : (15,000 x 24) : (20,000 x 18) = 4 : 3 : 3

=> B's Share = Rs. [ 25000 x (3/10) ] = Rs. 7,500

Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?

A.  7 : 6 : 10

B.  12 : 15 : 16

C.  42 : 45 : 56

D.  10 : 25 : 29

Correct Answer :

12 : 15 : 16

Explanation :

Aman : Rakhi : Sagar = (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24) = 12 : 15 : 16

Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?

A.  Rs. 890

B.  Rs. 1335

C.  Rs. 1602

D.  Rs. 1780

Correct Answer :

Rs. 890

Explanation :

Arun : Kamal : Vinay = (8,000 x 6) : (4,000 x 8) : (8,000 x 8)

= 48 : 32 : 64 = 3 : 2 : 4

=> Kamal's share = Rs. [ 4005 x (2/9) ] = Rs. 890

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?

A.  Rs. 9,423

B.  Rs. 10,250

C.  Rs. 12,500

D.  Rs. 10,500

Correct Answer :

Rs. 10,500

Explanation :

Simran : Nanda = (50000 x 36) : (80000 x 30) = 3 : 4

=> Simran's share = Rs. [ 24500 x (3/7) ] = Rs. 10,500

Tarun got 30% concession on the labeled price of an article and sold it for Rs. 8750 with 25% profit on the price he bought. What was the labeled price?

A.  Rs. 10,000

B.  Rs. 12,000

C.  Rs. 16,000

D.  Data inadequate

E.  None of these

Correct Answer :

Rs. 10,000

Explanation :
No Explanation available for this question

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit is:

A.  Rs. 1425

B.  Rs. 1500

C.  Rs. 1537.50

D.  Rs. 1576

Correct Answer :

Rs. 1500

Explanation :
No Explanation available for this question

A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were:

A.  Rs. 140

B.  Rs. 160

C.  Rs. 180

D.  Rs. 220

Correct Answer :

Rs. 160

Explanation :
No Explanation available for this question

X, Y, Z, enter into a partnership. X invests some money at the beginning y, invests 4 times  The amount after 8 months and Z invests 3 times the amount after 10 months. If the annual profit be Rs. 8500 then Z’s share is

A.  1525

B.  1875

C.  2000

D.  1500

Correct Answer :

1500

Explanation :
No Explanation available for this question

Four milkmen rented a pasture. A grazed 15 cows for 4months, B grazed 12 cows for 2months, C grazed 18 cows for 6 months, and D grazed 16 cows for 5 months. If A’s share of rent is Rs 1,020, what is C’s share of rent?

A.  Rs.1,836

B.  Rs 1,360

C.   Rs. 816

D.  Cannot be determined

Correct Answer :

Rs.1,836

Explanation :
No Explanation available for this question

Three partners A, B, C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs. 16,500 at the end of the year, B’s share is:

A.  Rs. 4000

B.  Rs. 6000

C.  Rs. 7500

D.  Rs. 6600

Correct Answer :

Rs. 6000

Explanation :
No Explanation available for this question

A and B started a business with initial investments in the ratio 14 : 15 and their annual profits were in the ratio 7 : 6. If A invested the money for 10 months, for how many months did B invest his money?

A.  6

B.  7

C.  8

D.  9

Correct Answer :

8

Explanation :
No Explanation available for this question

A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

A.  Rs. 45

B.  Rs. 50

C.  Rs. 55

D.  Rs. 60

Correct Answer :

Rs. 45

Explanation :
No Explanation available for this question

A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in an annual profit of Rs. 40,500 are :

A.  Rs. 10,500, Rs. 13,500, Rs. 16,500

B.  Rs. 11,500, Rs. 13,000, Rs. 16,000

C.  Rs. 11,000, Rs. 14,000, Rs. 15,500

D.  Rs. 11,500, Rs. 12,500, Rs. 16,500

E.  None of these

Correct Answer :

Rs. 10,500, Rs. 13,500, Rs. 16,500

Explanation :
No Explanation available for this question

In a partnership, A invests 1/6 of the capital for 1/6 of the time B invests 1/3 of the capital for 1/3 of the time and C, the rest of the capital for whole time find A’s share of the total profit of 2,300

A.  100

B.  200

C.  300

D.  400

E.  None of these

Correct Answer :

100

Explanation :
No Explanation available for this question

Three partners A, B, C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs. 16,500 at the end of the year, B’s share is:

A.  Rs. 4000

B.  Rs. 6000

C.  Rs. 7500

D.  Rs. 6600

Correct Answer :

Rs. 6000

Explanation :
No Explanation available for this question

Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak’s share is:

A.  Rs. 5400

B.  Rs. 7200

C.  Rs. 8400

D.  Rs. 9600

Correct Answer :

Rs. 8400

Explanation :
No Explanation available for this question

A and B invest in a business in the ratio 3:2 if 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit is:

A.  Rs.1425

B.  Rs.1500

C.  Rs.1537.50

D.  Rs.1576

Correct Answer :

Rs.1500

Explanation :
No Explanation available for this question